Two-scale modeling of tissue perfusion problem using homogenization of dual porous media
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F10%3A00503443" target="_blank" >RIV/49777513:23520/10:00503443 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Two-scale modeling of tissue perfusion problem using homogenization of dual porous media
Original language description
The homogenization approach to the modeling of diffusion in a dual-porous deformable incompressible medium the Biot-type is reported. The model can describe the blood perfusion in biological tissues or uid ltration phenomena in general. Because of the strong heterogeneity in permeability coefcients associated with three compartments of the representative microstructural cell (RMC), the homogenization of the model leads to the double diffusion phenomena. The homogenized model describe the parallel diffusion in two high-conducting compartments (arterial and venous sectors) separated by a low-conducting matrix representing the perfused tissue. To obtain the homogenized model, the method of periodic unfolding is applied. The homogenized coefcients are dened in terms of the characteristic response of the RMC. Viscoelastic and other effective parameters, controlling deformation and the uid redistribution are involved also in time convolutions.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BK - Liquid mechanics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA106%2F09%2F0740" target="_blank" >GA106/09/0740: Microstructure oriented hierarchical modeling of brain perfusion for CT based cerebral blood flow evaluation</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal for Multiscale Computational Engineering
ISSN
1543-1649
e-ISSN
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Volume of the periodical
8
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
22
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
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